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45432320 = 29517747
BaseRepresentation
bin1010110101001…
…1111000000000
310011111012102112
42231103320000
543112313240
64301434452
71061111513
oct255237000
9104435375
1045432320
1123710a7a
121326ba28
13954933b
146068d7a
153ec6665
hex2b53e00

45432320 has 40 divisors (see below), whose sum is σ = 108937224. Its totient is φ = 18171904.

The previous prime is 45432281. The next prime is 45432323. The reversal of 45432320 is 2323454.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45432323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6314 + ... + 11433.

Almost surely, 245432320 is an apocalyptic number.

45432320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45432320 is an abundant number, since it is smaller than the sum of its proper divisors (63504904).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

45432320 is an equidigital number, since it uses as much as digits as its factorization.

45432320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17770 (or 17754 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 23.

The square root of 45432320 is about 6740.3501392732. The cubic root of 45432320 is about 356.8247511100.

Adding to 45432320 its reverse (2323454), we get a palindrome (47755774).

The spelling of 45432320 in words is "forty-five million, four hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 2560 17747 35494 70988 88735 141976 177470 283952 354940 567904 709880 1135808 1419760 2271616 2839520 4543232 5679040 9086464 11358080 22716160 45432320